The homework is worth 10 points. Show all of your work and put a box around your nal answer. Complete the following table of values. m 0.9 0.99 0.999 1.001 1.01 1.1 f(:v) Use the table above to evaluate each of the following limits. (a) Hm ail, m)1+ (10} 11111 f (56): :1;)1 (0) lim x). 12)1 (d) Use Desmos to Sketch the graph. Does the graph conrm your answer? Explain. 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. 20->-4 (a) lim f(x)g(x) ac->-4 (b) lim (2f(x) + 3g(x)) (c) lim (f(x)) 3 9 (20) x-4 52 (e lim f(2) + 1 x--49(x -94- 3 - 2 - 1 - O -4 -3 -2 -1 3 A ON -2- -3- graph.png 3. From the above graph of y = f(x), find the following limits: (a lim f(x) = (b) lim f(ac) = (c) lim f(x) = d) lim f (x) = x->-4 20->-2 x-+1(e) lim f (ac) = (f) lim f (x) = (g) lim f(x) = (h) lim f (ac) = x-2 x-4- x-+4+ x-+4 4. Let f(x) = 6 and g(x) = 4x + 1. Use the limit definition to verify the following limits: (a) lim f(x) = 6 (b) lim g(x) = 17 x-4 25. Find the limit, if it exists.If the limit does not exist, explain why. . f 2 (a) 1151131 x2 x 1 1, (b) $232+ 3 _ x (0) lim m ac>0 :1